Please provide step-by-step solution so I can help teach myself how to solve the problem.

#3 MICRO F (Nov. 2020) [(work)(rap)(nap)]. G. is preparing for a presentation on nested parentheses. He has t hours until the presentation. He can work on slides (s), listen to "boasty" Kanye West music (r), or nap (n). G's goal is to maximize the quality of his presentation, which is measured in applause time (a). If he remembers to sleep the night before, the quality of his presentation is given by a = [(s) (r + 1)]3 where a is the seconds of applause he will receive. Note, in this instance, napping will not benefit his presentation and so n does not appear. A) Characterize how G. should spend his time given any amount of time t. B) Write down the amount of applause G. can achieve given t hours of time. C) What is G's elasticity of applause (a) with respect to time available (t)? When G. forgets to sleep, his presentation will benefit from a nap. In this instance, the quality of his presentation is given by a = [(s) (r + 1) (m)]*. D) Characterize how G. should spend his time given any amount of time t. E) Write down the amount of applause G. can achieve given t hours of time. On Mondays, G. is incapable of napping for more than an hour. If he tries to nap for longer, he will just lay there, staring at the ceiling. Thus, on Mondays when he forgets to sleep, the quality of his presentation is a = [(s) (r + 1) (Min {n, 1})]3. F) Characterize how G. should spend his time given any amount of time t. G) Write down the amount of applause G. can achieve given t hours of time. H) Using your answers above, say something interesting comparing G's deci- sions under each condition (slept, did not sleep, did not sleep and it is Monday). Is he ever better off having not slept